Write in simplest form and explain how it's done. 19/22 + (-1/2)

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justaguide's profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted on

The expression `19/22 + (-1/2)` has to be expressed in the simplest form. 

`19/22 + (-1/2)`

open the brackets

=> `19/22 -1/2`

make the denominator the same for both the terms

=> `19/22 - 11/22`

=> `(19 - 11)/22`

=> 8/22

=> 4/11

The expression `19/22 + (-1/2)` is equal to `4/11`

najm1947's profile pic

najm1947 | Elementary School Teacher | (Level 1) Valedictorian

Posted on

We have to write expression 19/22+(-1/2) with explanation

So let us see at the first fraction 19/22. It means 19 parts out of 22 parts. The other fraction is 1/2 i.e. half, it is equivalent to 11 parts out of 22 parts. We are doing it so that the two fractions has a common number of which they are a part. Further 1/2 or 11/22 is with a minus sign so it has to be subtracted not added to 19/22.

Hence the expression 19/22+(-1/2) can be written as 19/22-11/22

Now we have to subtract 11 parts of 22 from 19 parts of 22 leaving us with 8 parts of 22 that can be written as 8/22. An 8 parts out of 22 are equal to 4 parts of 11 or 4/11.

The above can be written in mathematical terms as:

19/22+(-1/2) = 19/22-11/22 = 8/22 = 4/11

or

The expression 19/22+(-1/2) is equal to 4/11

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